A composite shape is formed by two right-angled triangles. The horizontal base of the first triangle is 24 m and its hypotenuse is 26 m. They share a vertical side. In the second triangle, the angle opposite the shared vertical side is 48∘ 48^\circ\,48∘ and its hypotenuse is x mx\text{ m}x m. Right-angle symbols are marked at the base and the junction between the shared side and the second triangle.
Work out the value of xxx. Give your answer to 1 decimal place.
Practise OCR GCSE Maths SOHCAHTOA (Trigonometry) with exam-style questions for Foundation and Higher tier. 43 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.